Reteaching Name 14-4 Median, Mode, and Range The median, mode, and range are each numbers that describe a set of data. Here is Eduardo’s survey of how many books his friends read last month. Book Reading Number of Friend books read Jean 2 Raul 3 Sally 8 Jonathan 5 Haley 6 Kristen 3 Owen 1 What are the median, mode, and range of Eduardo’s survey? Median: The median is the middle number in a set of data. To find it: 1.Arrange the data in order from least to greatest. 2. Locate the middle number. 1, 2, 3, 3, 5, 6, 8 middle number 5 3 The median number of books read is 3. Mode: The mode is the data value that occurs most often. To find it: 1. List the data. 1, 2, 3, 3, 5, 6, 8 2. Find the number that occurs most. 3 The mode of the books read by Eduardo’s friends is 3 books. Range: The range is the difference between the greatest and least values. To find it: 1. Identify the greatest and least values. 8 and 1 2.Subtract the least from the greatest value. 817 The range of the books read by Eduardo’s friends is 7 books. 1. Find the median of this data set: 12, 18, 25, 32, 67. 2. Find the mode of this data set: 123, 345, 654, 123, 452, 185. 3. Find the range of this data set: 24, 32, 38, 31, 61, 35, 31. R 14•4 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 6 Practice Name 14-4 Median, Mode, and Range 1. Find the range of this data set: 225, 342, 288, 552, 263. 2. Find the median of this data set: 476, 234, 355, 765, 470. 3. Find the mode of this data set: 16, 7, 8, 5, 16, 7, 8, 4, 7, 8, 16, 7. 4. Find the range of this data set: 64, 76, 46, 88, 88, 43, 99, 50, 55. 5. Reasoning Would the mode change if a 76 were added to the data in Exercise 4? The table below gives the math test scores for Mrs. Jung’s fifth-grade class. 76 54 92 88 76 88 75 93 92 68 88 76 76 88 80 70 88 72 Test Scores 6. Find the mean of the data. 7. Find the mode of the data. 8. Find the median of the data. 9. What is the range of the data set? 10. Find the range of this data set: 247, 366, 785, 998. A 998 B 781 C 751 D 538 11. Explain It Will a set of data always have a mode? Explain your answer. P 14•4 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 6 Enrichment Name 14-4 School Surveys 1. Angela surveyed the students in her school. Use her results below to find the median, mode, and range for Angela’s data. Recreational Reading Comic book Biography Novel How-to book Mystery Joke book Number Sense Number of Students 10 6 13 7 9 7 2. Daniel surveyed the students in his school. Use his results below to find the median, mode, and range for Daniel’s data. Favorite Music Rock Country Rap Classical Jazz New Age Number of Students 17 5 11 9 12 5 3. If Daniel added Hip-Hop to his survey with 13 students selecting that category, how would his data change? E 14•4 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 6
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